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Finding the Fourth Proportional to 5,751.40, 8,627.34 and 4,784.32

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Solution

The fourth proportional to 5,751.40, 8,627.34 and 4,784.32 is: 7,176.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,751.40 : 8,627.34 = 4,784.32 : x
  2. Step 2: Convert to fraction form
    5,751.40/8,627.34 = 4,784.32/x
  3. Step 3: Cross multiply
    5,751.40x = 8,627.34 × 4,784.32
  4. Step 4: Simplify right side
    5,751.40x = 41,275,955.31
  5. Step 5: Solve for x
    x = 41,275,955.31/5,751.40
  6. Step 6: Final answer
    x = 7,176.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.